Question: Pressure and bulk modulus of an electron gas (a) Derive a relation connecting the pressure and volume of an electron gas at 0 K. The

Pressure and bulk modulus of an electron gas 

(a) Derive a relation connecting the pressure and volume of an electron gas at 0 K. The result may be written as p = 2/3(U0/V). 

(b) Show that the bulk modulus B = – V (∂p/∂V) of an electron gas at 0 K is B = 5p/3 = 10U0/9V. 

(c) Estimate for potassium, using Table 1, the value of the electron gas contribution to B.

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